The job of Firefox Sync is to synchronize among Firefoxes, running on different machines (PC, tablet, another PC, phone). Your case looks different: correct me if I am wrong, but you want to synchronize (URLs, passwords ...) across different applications - including Firefox - within the same Mobile hardware. If this is the question, then look for ''Keypass'' in Google playstore - there's dozens of free suggestions for it. Google wallet, Google play Store are external to Firefox: if a certain page you land on with Firefox needs the Wallet, then it is no concern to Firefox.